248014061568 has 960 divisors, whose sum is σ = 928338915840. Its totient is φ = 63700992000.

The previous prime is 248014061527. The next prime is 248014061593. The reversal of 248014061568 is 865160410842.

It is a happy number.

248014061568 is a `hidden beast` number, since 2 + 4 + 80 + 1 + 4 + 0 + 6 + 1 + 568 = 666.

248014061568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2455584718 + ... + 2455584818.

It is an arithmetic number, because the mean of its divisors is an integer number (967019704).

Almost surely, 2^248014061568 is an apocalyptic number.

248014061568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248014061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464169457920).

248014061568 is an abundant number, since it is smaller than the sum of its proper divisors (680324854272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248014061568 is a wasteful number, since it uses less digits than its factorization.

248014061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 248014061568 in words is "two hundred forty-eight billion, fourteen million, sixty-one thousand, five hundred sixty-eight".